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Finding the Third Proportional to 34,176,343.50 and 69,621,795

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Solution

The third proportional to 34,176,343.50 and 69,621,795 is: 141,828,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176,343.50 : 69,621,795 = 69,621,795 : x
  2. Step 2: Convert to fraction form
    34,176,343.50/69,621,795 = 69,621,795/x
  3. Step 3: Cross multiply
    34,176,343.50x = 69,621,795 × 69,621,795
  4. Step 4: Simplify right side
    34,176,343.50x = 4,847,194,339,022,025
  5. Step 5: Solve for x
    x = 4,847,194,339,022,025/34,176,343.50
  6. Step 6: Final answer
    x = 141,828,933.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.